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Finding the Fourth Proportional to 4,852.56, 7,271.62 and 2,509.43

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Solution

The fourth proportional to 4,852.56, 7,271.62 and 2,509.43 is: 3,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.56 : 7,271.62 = 2,509.43 : x
  2. Step 2: Convert to fraction form
    4,852.56/7,271.62 = 2,509.43/x
  3. Step 3: Cross multiply
    4,852.56x = 7,271.62 × 2,509.43
  4. Step 4: Simplify right side
    4,852.56x = 18,247,651.78
  5. Step 5: Solve for x
    x = 18,247,651.78/4,852.56
  6. Step 6: Final answer
    x = 3,760.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.